Course Description
- Basic notions of: Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
- Gluing constructions.
- Homotopies between continuous maps, degree of a map, fundamental group.
- Seifert-van Kampen Theorem.
- Covering spaces.
Literature
- Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
- James R. Munkres: Topology, Prentice Hall
- Marco Manetti : Topology, Springer
- Stefan Waldmann: Topology (An Introduction), Springer
- Klaus Jänich: Topologie, Springer-Verlag
Contact
| Contact | Office Hours: | ||
| Lecture | Pavle Blagojević and Moritz Firsching | blagojevic(at)math.fu-berlin.de, firsching(at)math.fu-berlin.de | Wednesday after lectures |
| Tutorial | Jonathan Kliem | jonathan.kliem(at)fu-berlin.de | Monday after tutorials |
Lectures
Lectures | ||
| Wed | 14:15 - 15:45 | SR 031, Arnimallee 6 |
| Fri | 12:00 - 13:30 | HS 001, Arnimallee 3 |
Tutorials and Problems
| Tutorials | ||
| Mon | 12:15 - 13:45 | HS 001, Arnimallee 3 |
Exercise Sheets
- 1.pdf (due October 25th)
- 2.pdf (updated) (due November 1st)
- 3.pdf (due November 8th)
- 4.pdf (due November 15th)
- 5.pdf (due November 22th)
- 6.pdf (due November 29th)
- Quiz (updated)
- 7.pdf (due December 13th)
- 8.pdf (due December 20th)
- 9.pdf (due January 10th)
- Addenum9.pdf
- 10.pdf (due January 17th)
- 11.pdf (due January 26th)
- 12.pdf (due February 2nd)
- 13.pdf (due February 9th), final sheet
Exam
You can do the exam either written or oral. If you want to do oral exam, you must set up a date before the written exam. Please allow enough time for that. If you do not have a date for the oral exam, you will take the written exam by default. Your second attempt will be in the same mode as your first attempt. E.g. if you fail the written exam at the first try, you must pass the second written exam in order to pass the class.
The written exam will take place Tuesday, February 20th, at 2pm (Takustr. 9, HS 028 (great auditorium)).
The second attempt exam will take place Wednesday, April 11th, at 10 am (Arnimallee 3, HS 1).
If you passed the first exam, you can have a second attempt and the better grade will count.
Please do not forget your student ID (and something to write) for the exam. We will not allow any notes for the exam. In the written exam you can give us some Tag under which the results will be published here (we will not publish results without tags).
Review: If you like, you can take a look at the exam on Monday, February 26th between 11 am and 12 pm (Arnimallee 2, Seminar room).
Those are the results from the written exam on Feb 20th. The grade is determined by setting 72 points for passing (4.0), 120 points for 1.0, and affine continuation. If you passed, your grade gets rounded down if necessary (so 1.9375 will result in a 1.7).
| Codename | Problem | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | Total | Grade |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Maximum | 24 | 36 | 18 | 10 | 8 | 10 | 8 | 10 | 10 | 10 | 144 | ||
| 565656 | 24 | 30 | 0 | 2 | 0 | 0 | 0 | 0 | 4 | 0 | 60 | 4.75 | |
| 7070 | 20 | 25 | 7 | 3 | 0 | 0 | 0 | 9 | 5 | 9 | 78 | 3.625 | |
| croutechick | 16 | 30 | 3 | 3 | 0 | 0 | 0 | 2 | 7 | 3 | 64 | 4.5 | |
| 5154559 | 24 | 30 | 14 | 4 | 1 | 3 | 0 | 8 | 2 | 0 | 86 | 3.125 | |
| Kridi | 24 | 36 | 10 | 7 | 1 | 7 | 2 | 3 | 0 | 0 | 90 | 2.875 | |
| Käsebrot | 24 | 28 | 10 | 5 | 7 | 7 | 2 | 10 | 0 | 6 | 99 | 2.3125 | |
| DDMM | 16 | 24 | 0 | 2 | 0 | 2 | 0 | 10 | 0 | 0 | 54 | 5.125 | |
| This was a triumph… | 16 | 26 | 14 | 6 | 7 | 9 | 0 | 10 | 10 | 7 | 105 | 1.9375 | |
| t26 | 23 | 29 | 16 | 6 | 5 | 8 | 8 | 8 | 0 | 10 | 113 | 1.4375 | |
| TOPOLOJESUS | 16 | 30 | 4 | 2 | 0 | 0 | 0 | 6 | 10 | 10 | 78 | 3.625 | |
| I’m making a note here, huge success! | 22 | 36 | 18 | 10 | 0 | 9 | 0 | 10 | 10 | 10 | 125 | 0.6875 | |
| 24.04.94 | 24 | 31 | 2 | 5 | 1 | 4 | 6 | 6 | 5 | 0 | 84 | 3.25 | |
| 3#age-len | 18 | 25 | 5 | 2 | 2 | 3 | 4 | 8 | 5 | 0 | 72 | 4 | |
| TAU | 18 | 28 | 10 | 3 | 0 | 5 | 0 | 6 | 9 | 5 | 84 | 3.25 | |
| 1712 | 20 | 27 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 51 | 5.3125 | |
| Garrio | 20 | 23 | 6 | 4 | 1 | 0 | 1 | 8 | 0 | 0 | 63 | 4.5625 | |
| 4765508 | 22 | 28 | 0 | 10 | 1 | 9 | 2 | 6 | 10 | 0 | 88 | 3 |
Those are the results from the written exam on April 11th. The grade is determined by setting 72 points for passing (4.0), 120 points for 1.0, and affine continuation. If you passed, your grade gets rounded down if necessary (so 1.9375 will result in a 1.7).
| Codename | Problem | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | Total | Grade |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Maximum | 12 | 12 | 36 | 18 | 10 | 8 | 8 | 10 | 10 | 10 | 10 | 144 | ||
| bumbum | 6 | 6 | 25 | 2 | 8 | 0 | 6 | 0 | 4 | 0 | 2 | 59 | 4.8125 | |
| 0625 | 4 | 12 | 24 | 8 | 2 | 1 | 3 | 0 | 10 | 5 | 0 | 69 | 4.1875 | |
| Oblomov | 0 | 9 | 27 | 0 | 0 | 0 | 1 | 0 | 4 | 3 | 0 | 44 | 5.75 | |
| 5154965 | 4 | 9 | 23 | 10 | 2 | 2 | 0 | 0 | 6 | 0 | 5 | 61 | 4.6875 | |
| croutechick | 8 | 9 | 25 | 4 | 2 | 1 | 0 | 0 | 6 | 7 | 5 | 67 | 4.3125 | |
| 10.07 | 8 | 12 | 24 | 2 | 0 | 2 | 0 | 0 | 10 | 0 | 4 | 62 | 4.625 | |
| 1234567 | 12 | 12 | 33 | 10 | 6 | 2 | 5 | 0 | 6 | 7 | 8 | 101 | 2.1875 | |
| RORE | 0 | 9 | 36 | 14 | 0 | 2 | 0 | 0 | 10 | 7 | 1 | 79 | 3.5625 | |
| Cicici | 6 | 6 | 24 | 6 | 0 | 1 | 0 | 0 | 7 | 0 | 2 | 52 | 5.25 | |
| Wolle Petry | 8 | 12 | 35 | 10 | 2 | 2 | 0 | 8 | 2 | 7 | 0 | 86 | 3.125 | |
| 4974263 | 0 | 12 | 24 | 0 | 6 | 1 | 0 | 5 | 10 | 7 | 0 | 65 | 4.4375 |
